A189498 T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of floor(x(i)/x(i+1)) equal to zero

0, 2, 4, 6, 12, 0, 12, 38, 42, 12, 20, 78, 152, 136, 0, 30, 148, 462, 928, 550, 40, 42, 240, 1088, 3388, 4920, 1892, 0, 56, 380, 2128, 9394, 24806, 27508, 7384, 140, 72, 554, 3850, 22088, 85480, 182634, 152358, 26816, 0, 90, 788, 6474, 45892, 238836, 787412

Offset

1,2

Comments

Table starts

...0......2........6........12.........20..........30...........42...........56

...4.....12.......38........78........148.........240..........380..........554

...0.....42......152.......462.......1088........2128.........3850.........6474

..12....136......928......3388.......9394.......22088........45892........86416

...0....550.....4920.....24806......85480......238836.......567774......1218778

..40...1892....27508....182634.....787412.....2642358......7269852.....17692662

...0...7384...152358...1350418....7250142....29261538.....93830584....260746932

.140..26816...852940..10077438...67449574...326423068...1218634086...3870426602

...0.103288..4796962..75593372..630466648..3664621084..15936391068..57837221756

.504.386928.27117826.569975518.5926141678.41363200538.209537582772.869215927390

Links

R. H. Hardin, Table of n, a(n) for n = 1..797

Example

Some solutions for n=7 k=5
.-5...-5...-5...-5...-5...-4...-5...-5...-5...-4...-5...-5...-5...-5...-5...-5
.-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5
..3...-4....5....2....3...-4....4...-4...-3...-5....5....5....1....1....3....3
.-4....3...-4...-3....2...-3....3....5....1...-3...-4....2....4....2....1....2
.-2....2...-1...-4...-1...-5....1....4....1...-4...-2...-5....2....2...-1....5
..4....5...-3....4...-5...-2...-2....3....2...-5....2....3...-5...-4...-5...-5
..3...-2....2....2...-4....5...-4...-1....2....3....3....5...-5...-1....3...-2
..5...-1....5....1...-4...-2....3...-4...-4....4....3....5...-2...-4....3....2

Crossrefs

Column 1 is A028329(n/2) for even n

Row 1 is A002378(n-1)

Sequence in context: A049914 A056763 A190071 * A129567 A064469 A057700

Adjacent sequences: A189495 A189496 A189497 * A189499 A189500 A189501

Keyword

nonn,tabl

Author

R. H. Hardin Apr 23 2011

Status

approved